The city’s controversial bid to hand out “plan B” morning-after contraception to public high-school girls as young as 14 is sidelining parents in matters of their own kids’ sexuality and health, critics charged yesterday.

“The ultimate irony is that in New York City, students can’t buy large sodas, but they can get Plan B at school,” said Hadley Heath, senior policy analyst at the nonprofit Independent Women’s Forum in Washington, DC.

The backlash came in response to a Post report on a city pilot program to dispense the pill to students.